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Existence and structure of stochastic equilibria with intertemporal substitution

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Author Info
Frank Riedel () (Institut für Wirtschaftstheorie I, Humboldt-Universität zu Berlin, Spandauer Straße 1, Germany Manuscript)
Peter Bank () (Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, D-10099 Berlin, Germany)

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Abstract

We prove existence of an Arrow-Debreu equilibrium when agents' preferences exhibit local substitution in the sense of Hindy, Huang, and Kreps (1992). Efficient allocations and supporting price functionals are identified and characterized. Under Hindy-Huang-Kreps preferences, equilibrium price processes are semimartingales for arbitrary endowments, but in general, they do not belong to the space suggested originally by Hindy and Huang (1992) due to an additional singular local time component.

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Publisher Info
Article provided by Springer in its journal Finance and Stochastics.

Volume (Year): 5 (2001)
Issue (Month): 4 ()
Pages: 487-509
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Handle: RePEc:spr:finsto:v:5:y:2001:i:4:p:487-509

Note: received: July 2000; final version received: January 2001
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Related research
Keywords: General equilibrium; local substitution; non time additive utility;

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Find related papers by JEL classification:
D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Laurent E. Calvet & Adlai J. Fisher, 2006. "Multifrequency Jump-Diffusions: An Equilibrium Approach," NBER Working Papers 12797, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Martins-da-Rocha, V. F. & Riedel, Frank, 2008. "On Equilibrium Prices in Continuous Time," Economics Working Papers (Ensaios Economicos da EPGE) 672, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
    Other versions:
  3. Frank Riedel, 2007. "Optimal consumption choice with intolerance for declining standard of living," Working Papers 394, Bielefeld University, Institute of Mathematical Economics. [Downloadable!]
    Other versions:
  4. Frank Riedel, 2003. "Generic Determinacy of Equilibria with Local Substitution," GE, Growth, Math methods 0303001, EconWPA. [Downloadable!]
    Other versions:
  5. V. Martins-da-Rocha & Frank Riedel, 2006. "Stochastic equilibria for economies under uncertainty with intertemporal substitution," Annals of Finance, Springer, vol. 2(1), pages 101-122, January. [Downloadable!] (restricted)
  6. Gordan Zitkovic, 2009. "Stochastic equilibria and stability in a class of incomplete continuous-time financial environments," Quantitative Finance Papers 0906.0208, arXiv.org. [Downloadable!]
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